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170

Sep 26, 2012
09/12

by
Heidi Kloos, Guy Van Orden

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Children can link facts and events into integrated beliefs. This ability of the mind to combine facts to form higher-order Gestalts is central to many cognitive activities, including problem solving, analogical reasoning, and creative thought. In fact, it is central to the abduction of meaning: the creation of a self-sustaining pattern of ordered facts that are combined in the larger Gestalt. Abduction has mostly escaped experimental investigation, possibly because it often emerges instantly...

Topics: Abduction, Reasoning, Nonlinear Dynamics, Constraints, Parameter Dynamics

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178

Aug 16, 2010
08/10

by
Bai,Wubin /Lin,Yen-Chih /Hou,Tzon-Kun /Hong,Tzay-Ming /

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A high-pressure chamber was designed to study the crumpling of thin sheets beyond the power-law regime. Preceded by a smooth transition, the crumpled ball that characterizes the high-pressure state contains less than 50% air and exhibits separate ordered domains. All the data for different sheet thickness, size, and even number collapse to a master line when using volume ratio and pressure as the plotting parameters. This suggested the existence of a scaling relation, which was ascribed to the...

Topics: Nonlinear Dynamics, Fluid Dynamics, Classical Optics, condensed matter, crumpling

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43

Feb 24, 2014
02/14

by
Yoh Imai, Hirohisa Yokota, Satoshi Yamauchi

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In this paper, a new method for measuring the nonlinear refractive index by using the multiple interference phenomenon occurred in an optical fiber ring resonator (OFRR) is proposed. In OFRRs, input light and circulated light components are added in succession, and then, result in forming a multiple interference output. The OFRR output exhibits nonlinear characteristics between the input and the output power due to the optical Kerr effect, as the input light power increases, as is shown in the...

Topics: Nonlinear Refractive Index, Optical Fiber Ring Resonator, Bifurcation Diagram, Nonlinear Dynamics

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49

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This paper deals with the problem of nonlinear dynamics of complex system with phase control combining phase-locked loop and automatic gain control loop. The behavior of the examined system is described by nonlinear two- and four-dimensional sets of differential equations with periodical nonlinearities. Stability of synchronous mode, bifurcations determining boundaries of domain with quality different behavior of the considered system, and oscillatory modes arising in domain where synchronous...

Topics: Systems with Phase and Gain Control, Nonlinear Dynamics, Stability, Bifurcation, Transitions to...

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3.0

May 5, 2016
05/16

by
IJOER Engineering journal

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An isomorphic structure that converts the Lorenz equations, whose dynamic properties are usually described in terms of three independent factors, into a single control-parameter system, is put forward and analyzed. Such an isomorphism is shown to bring an intrinsic simplification that offers much better depictions of the Lorenz non-linear dynamics, while it allows for quicker and forthright inspection of the control-parameter domains, inside which well-defined periodic, both symmetric and...

Topics: Lorenz equations, Fluid turbulence, Laser theory, Instabilities and chaos, Nonlinear dynamics,...

Nonlinear Dynamics in Human Behavior

Topics: dynamics, dynamical, phase, activation, perception, nonlinear, frequency, stable, perceptual,...

From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AIM-1216

Topics: chaotic, chaos, figure, nonlinear, behavior, attractor, bifurcation, phase, system, equations,...

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17

Dec 30, 2015
12/15

by
Beuter, Anne

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Nonlinear Dynamics in Physiology and MedicineAuthor: Anne Beuter, Leon Glass, Michael C. Mackey, Michèle S. Titcombe Published by Springer New York ISBN: 978-1-4419-1821-5 DOI: 10.1007/978-0-387-21640-9Table of Contents:Theoretical Approaches in Physiology Introduction to Dynamics in Nonlinear Difference and Differential Equations Bifurcations Involving Fixed Points and Limit Cycles in Biological Systems Dynamics of Excitable Cells Resetting and Entraining Biological Rhythms Effects of Noise...

Topics: Physiology, Nonlinear systems, Dynamics, Nonlinear Dynamics, Matemática aplicada, Fisiologia...

From the bitsavers.org collection, a scanned-in computer-related document.mit :: ai :: aim :: AITR-1388

Topics: parameter, trajectory, control, chaotic, trajectories, figure, segment, path, attractor, nonlinear,...

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Dec 30, 2015
12/15

by
Kantz, Holger, 1960-; Kurths, J. (Jürgen), 1953-; Mayer-Kress, G. (Gottfried), 1954-

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Nonlinear Analysis of Physiological DataAuthor: Priv.-Doz. Dr. rer. nat. H. Kantz, Prof. Dr. rer. nat. habil. J. Kurths, Prof. Dr. G. Mayer-Kress Published by Springer Berlin Heidelberg ISBN: 978-3-642-71951-6 DOI: 10.1007/978-3-642-71949-3Table of Contents:Introduction Processing of Physiological Data Problems in the Reconstruction of High-dimensional Deterministic Dynamics from Time Series Chaotic Measures and Real-World Systems Ranking and Entropy Estimation in Nonlinear Time Series Analysis...

Topics: Physiology, Nonlinear functional analysis, Nonlinear Dynamics, Physiological Phenomena, Computer...

Mohammad I. Younis - MEMS Linear and Nonlinear Statics and Dynamics

Topics: mems, beam, frequency, nonlinear, damping, equation, force, response, cantilever, electrostatic,...

24,176
24K

Jul 15, 2010
07/10

by
MIT OpenCourseWare

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Instructor: Russell Tedrake Robots today move far too conservatively, using control systems that attempt to maintain full control authority at all times. Humans and animals move much more aggressively by routinely executing motions which involve a loss of instantaneous control authority. Controlling nonlinear systems without complete control authority requires methods that can reason about and exploit the natural dynamics of our machines. This course discusses nonlinear dynamics and control of...

Topics: underactuated robotics, actuated systems, nonlinear dynamics, simple pendulum, optimal control,...

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147

Nov 24, 2011
11/11

by
I.C. Baianu

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Preprint: Nonlinear Models of Neural and Genetic Network Dynamics Abstract A categorical and /Lukasiewicz-Topos framework for Algebraic Logic models of nonlinear dynamics in complex functional systems such as Neural Networks, Cell Genome and Interactome Networks is introduced. \Lukasiewicz Algebraic Logic models of both neural and genetic networks and signaling pathways in cells are formulated in terms of nonlinear dynamic systems with N-state components that allow for the generalization of...

Topics: \Lukasiewicz models of Neural and Genetic Networks, Genome and cell interactomics models in terms...

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118

Dec 20, 2011
12/11

by
I. C. Baianu and James F. Glazebrook

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Abstract A novel approach to gene and neural networks, as well interactomics, in terms of quantum nano-automata formally represented in a categorical and Lukasiewicz-Topos framework of Lukasiewicz-Moisil (LM) Algebraic, many-valued (MV) Logics. General models of nonlinear dynamics in complex functional systems such as neural networks, genomes and cell interactomes are proposed based on categories of interacting quantum automata. Speci c realizations of such LM-Algebraic Logic models of genetic...

Topics: quantum automata and quantum computation,quantum nano-automata, LM--algebraic logic, LM--logic...

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756

Oct 10, 2012
10/12

by
I. C. Baianu, Ronald Brown and James F. Glazebrook

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A Monograph Published in: Acta Universitatis Apulensis,ISSN 1582-5329, 2011: 10 (6)-175-298'Special Issue on Understanding Complex Systems,Eds. Barna Iantovics, Ladislav HluchÂ¶y and Roumen Kountchev. Abstract. In this monograph we present a novel approach to the problems raised by higher complexity in both nature and the human society, by considering the most complex levels of objective existence as ontological meta-levels, such as those present in the creative human minds and civilised,...

Topics: Categorical Ontology and the Theory of Levels (COTL), meta-levels, Non- Abelian Categorical...